21241442414000 has 80 divisors (see below), whose sum is σ = 51362949212640. Its totient is φ = 8496388140800.

The previous prime is 21241442413991. The next prime is 21241442414041. The reversal of 21241442414000 is 41424414212.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120930239 + ... + 121105761.

It is an arithmetic number, because the mean of its divisors is an integer number (642036865158).

Almost surely, 2^{21241442414000} is an apocalyptic number.

21241442414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241442414000 is an abundant number, since it is smaller than the sum of its proper divisors (30121506798640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21241442414000 is a wasteful number, since it uses less digits than its factorization.

21241442414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236055 (or 236039 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 21241442414000 its reverse (41424414212), we get a palindrome (21282866828212).

The spelling of 21241442414000 in words is "twenty-one trillion, two hundred forty-one billion, four hundred forty-two million, four hundred fourteen thousand".